Topology, Geometry and Data Seminar - Haibin Hang

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photo of Haibin Hang
September 24, 2019
4:10PM - 5:10PM
Location
Cockins Hall 240

Date Range
Add to Calendar 2019-09-24 16:10:00 2019-09-24 17:10:00 Topology, Geometry and Data Seminar - Haibin Hang Title: What is a zigzag module with continuous index? Speaker: Haibin Hang, FSU Abstract: Persistence modules and zigzag modules are basic objects of study in topological data analysis. In this work, we generalize and unify these objects in the framework of correspondence modules, which use partial linear relations between vector spaces as a replacement for linear maps. We show that a decomposition theorem still holds in this more general framework. This leads to formulations of persistent homology that enable us to analyze data using barcodes containing richer information. Seminar URL: tgda.osu.edu Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: What is a zigzag module with continuous index?

Speaker: Haibin Hang, FSU

Abstract: Persistence modules and zigzag modules are basic objects of study in topological data analysis. In this work, we generalize and unify these objects in the framework of correspondence modules, which use partial linear relations between vector spaces as a replacement for linear maps. We show that a decomposition theorem still holds in this more general framework. This leads to formulations of persistent homology that enable us to analyze data using barcodes containing richer information.

Seminar URL: tgda.osu.edu